Mathematics

Studente che entra in facoltà
Mathematics
Course sheet
A.Y. 2021/2022
Bachelor
L-35 - Mathematics
Bachelor
180
ECTS
Access
Open with admission self-assessment test
3
Years
Course location
Milano
Language
Italian
The main objectives of the Degree Program in Mathematics are to furnish a solid foundation in the mathematical sciences, to introduce the modern formulation of the discipline, to encourage an active contact with various aspects of the field (including theoretical rigor and attention to applications), and to provide the preparation necessary to comprehend future developments in the field.
The Degree in Mathematics enables employment in both the public and private sectors for positions which require capacity for abstract reasoning, formulation and/or modelling of concrete problems and their solution though the use of tools coming from the mathematical sciences.
Recipients of the Degree in Mathematics find careers in: banks, insurance companies, polling and survey institutes, consulting and accrediting firms, software development companies, medical, biomedical and pharmacological institutes and companies, in the green economy, and in research and development divisions of large corporations, and specific industries such as transportation, telecommunication, and aerospace.
A significant portion of degree recipients in Mathematics continue their studies by enrolling in a Masters Degree Program.

Employment statistics (Almalaurea)
The Bachelor of Science in Mathematics has long been committed to characterize its educational activities in an international framework under the Erasmus program. We activated several agreements with other universities in Europe. In particular, we have exchange agreements within the disciplines of both curricula: with Austria, Britain, Spain, Portugal, France, Germany, Holland, Denmark, Polonia, Slovenia, Sweden, Norway and Finland.

See the website http://users.unimi.it/erasmusmat/ for collected information on locations and how to recognize the activities carried out abroad.

Attendance is strongly recommended.

Enrollment

Admission requirements
Upper secondary-school diploma or other qualification obtained abroad, recognized as suitable.

Adequate knowledge, in accordance with ministerial upper secondary-school syllabi (for mathematics and physics) as well as good scientific reasoning skills.

Admission assessment

Admission to the Bachelor's degree programme in Mathematics is open, subject to a mandatory, non-selective, assessment test before enrolment. Candidates will have to sit for the TOLC (Test Online CISIA) at the University of Milan or any other member university of CISIA (Consortium of Inter-University Integrated Access Systems). Register to the TOLC test on the CISIA website (www.cisiaonline.it).
The TOLC tests providing access to the degree programme in Mathematics are TOLC-S and TOLC-I.
Only after taking one of these tests, will you be able to enrol, WHATEVER THE RESULT:
- TOLC-S, divided into 4 sections: basic mathematics (20 questions - 50 minutes), reasoning and problems (10 questions - 20 minutes), reading comprehension (10 questions - 20 minutes), basic sciences (chemistry, physics and geology - 10 questions - 20 minutes).
- TOLC-I, divided into 4 sections: mathematics (20 questions - 50 minutes), logic (10 questions - 20 minutes), science (10 questions - 20 minutes), verbal comprehension (10 questions - 20 minutes).
Each question has 5 answer options, of which only one is correct.
Score: +1 for a correct answer, -0.25 for a wrong answer, 0 for a no answer.
Each TOLC test includes an additional English section, consisting of 30 questions to be answered in 15 minutes. This section does not count toward the overall test score.
Other equivalent tests may be accepted, as set out in the call for applications at   https://matematica.cdl.unimi.it/it/iscriversi  

Test structure and topics: https://www.cisiaonline.it/en/area-tematica-tolc-scienze/struttura-della-prova-e-syllabus/

Registration procedures and deadlines will be provided in the call for applications posted to the University website at https://matematica.cdl.unimi.it/it/iscriversi


Admission of transfer or graduate students
Transfer students from a degree programme of the University of Milan, or another university, and graduate students will be waived from the test only if admitted to years subsequent to the first.
To this end, they will have to submit a specific request for prior assessment of their academic career using the online service stated in the call for applications.
These candidates must provide a full transcript of records (listing exams, subject areas, credits, grades) and attach the course syllabi. For more details, please refer to the call for applications.
The request for career assessment must be submitted by 10 June 2021.
The outcome will be notified via e-mail by 15 July 2021.
Students admitted to the first year will be required to take the test.

Additional learning requirements (OFA) and remedial activities
Students who have not achieved at least 10 points in the mathematics module will have to fulfil additional learning requirements (OFA).
These requirements can be met by passing part A (Syllabus) of the Basic Mathematics exam by December 2021. Students who do not fulfil their OFA may not take any second-year exams before passing one of the following exams: Algebra I, Mathematical Analysis I, Geometry I.
Learn more at https://matematica.cdl.unimi.it/it/studiare/le-matricole

Call for applications

Please refer to the call for admission test dates and contents, and how to register.

Application for matriculation: from 15/07/2021 to 30/09/2021

Read the Call

Programme description and courses list
First semester
Courses or activities ECTS Total hours Language SSD
Compulsory
Algebra 1 9 93 Italian MAT/02
Elements of Basic Mathematics 3 27 Italian MAT/01 MAT/02 MAT/03 MAT/04 MAT/05 MAT/06 MAT/07 MAT/08 MAT/09
Geometry 1 6 63 Italian MAT/03
Mathematical Analysis 1 9 93 Italian MAT/05
Second semester
Courses or activities ECTS Total hours Language SSD
Compulsory
General Physics 1 9 93 Italian FIS/01 FIS/02 FIS/03 FIS/04 FIS/05 FIS/06 FIS/07 FIS/08
Geometry 2 9 93 Italian MAT/03
Mathematical Analysis 2 6 63 Italian MAT/05
Programming 1 6 63 Italian INF/01
First semester
Courses or activities ECTS Total hours Language SSD
Compulsory
Algebra 2 6 63 Italian MAT/02
Geometry 3 6 60 Italian MAT/03
Mathematical Analysis 3 9 93 Italian MAT/05
Numerical Analysis 1 9 96 Italian MAT/08
Optional
Mathematical Methods and Models for the Applications 6 60 Italian MAT/07
Second semester
Courses or activities ECTS Total hours Language SSD
Compulsory
Geometry 4 9 93 Italian MAT/03
Mathematical Analysis 4 6 60 Italian MAT/05
Mathematical Physics 1 6 60 Italian MAT/07
Probability 9 93 Italian MAT/06
Optional
Topics in Scientific Computing 6 60 Italian MAT/08
First semester
Courses or activities ECTS Total hours Language SSD
Compulsory
General Physics 2 9 93 Italian FIS/01 FIS/02 FIS/03 FIS/04 FIS/05 FIS/06 FIS/07 FIS/08
Mathematical Physics 2 6 60 Italian MAT/07
Optional
Algebra 3 9 93 Italian MAT/02
Second semester
Courses or activities ECTS Total hours Language SSD
Optional
General Physics 3 9 93 Italian FIS/01 FIS/02 FIS/03 FIS/04 FIS/05 FIS/06 FIS/07 FIS/08
Laboratory of Mathematical Statistics 3 36 Italian MAT/06
Mathematical Physics 3 9 93 Italian MAT/07
Conclusive activities
Courses or activities ECTS Total hours Language SSD
Compulsory
Final Exam 3 0 Italian
Optional activities and study plan rules
1 - The student must obtain 9 credits with a course of choice among the following:
Courses or activities ECTS Total hours Language Lesson period SSD
Algebra 3 9 93 Italian First semester MAT/02
Mathematical Physics 3 9 93 Italian Second semester MAT/07
3 - In the second and third year of the course the student must acquire 18 credits free of choice.
The following table shows the teachings specifically activated by CDM. The student can also freely choose among all the teachings activated by the university, and in particular among those activated by the CDM in mathematics for a curriculum different from that followed by the student (it is noted that the course of Geometry 4 (first part) is Available only for students of the application curriculum) and among those of the magistral in mathematics.
With regard to the courses of analysis it is advisable to follow real analysis and/or complex analysis.
The choice is subject to the approval of the CDM.
It is noted that the teaching of mathematical methods and models for applications is incompatible with the activity of mathematical methods and models for applications (which is one of the activities of choice for obtaining F-type credits) and, similarly, The teaching of scientific calculation is incompatible with the activity of scientific calculation.
Courses or activities ECTS Total hours Language Lesson period SSD
Algebra 4 6 60 Italian Second semester MAT/02
Geometry 5 9 78 Italian First semester MAT/03
Introduction to Image Processing 6 63 Italian Second semester MAT/03 MAT/08
Mathematical methods and models for applications 6 60 Italian First semester MAT/07
Numerical Linear Algebra 6 60 English Second semester MAT/08
Programming 2 6 60 Italian First semester INF/01
Scientific Computing 6 60 Italian Second semester MAT/08
First semester
Courses or activities ECTS Total hours Language SSD
Optional
Geometry 5 9 78 Italian MAT/03
Mathematical methods and models for applications 6 60 Italian MAT/07
Mathematical Statistics 9 93 Italian MAT/06
Programming 2 6 60 Italian INF/01
Second semester
Courses or activities ECTS Total hours Language SSD
Optional
Algebra 4 6 60 Italian MAT/02
Algoritmi e strutture dati 9 93 Italian INF/01
Elements of Basic Mathematics 2 3 27 Italian MAT/01 MAT/02 MAT/03 MAT/04 MAT/05 MAT/06 MAT/07 MAT/08 MAT/09
Introduction to Image Processing 6 63 Italian MAT/03 MAT/08
Numerical Linear Algebra 6 60 English MAT/08
Scientific Computing 6 60 Italian MAT/08
Open sessions
There are no specific sessions for these activities (e.g. open online courses).
Courses or activities ECTS Total hours Language SSD
Compulsory
English assessment B1 (3 ECTS) 3 0 Italian
Optional
Educational Training 3 0 Italian
Essay Written under the Direction of a Staff Member 3 0 Italian
Optional activities and study plan rules
2 - The student must obtain 9 credits by choosing a course from the following:
Courses or activities ECTS Total hours Language Lesson period SSD
Algoritmi e strutture dati 9 93 Italian Second semester INF/01
General Physics 3 9 93 Italian Second semester FIS/01 FIS/02 FIS/03 FIS/04 FIS/05 FIS/06 FIS/07 FIS/08
4 - The student must obtain 6 credits with one or more of the following F-type activities:
Courses or activities ECTS Total hours Language Lesson period SSD
Educational Training 3 0 Italian Open sessions
Elements of Basic Mathematics 2 3 27 Italian Second semester MAT/01 MAT/02 MAT/03 MAT/04 MAT/05 MAT/06 MAT/07 MAT/08 MAT/09
Essay Written under the Direction of a Staff Member 3 0 Italian Open sessions
Laboratory of Mathematical Statistics 3 36 Italian Second semester MAT/06
Mathematical Methods and Models for the Applications 6 60 Italian First semester MAT/07
Topics in Scientific Computing 6 60 Italian Second semester MAT/08
For the students who matriculated from the Academic Year 2019/2020 on, passing the exam of the course "Elementi di Matematica di Base" is mandatory for the exams of all the courses of the second and the third year. This rule applies to all the Curricula. Furthermore, the students should take into account the teachers' suggestions regarding possible preliminary useful courses.
First semester
Courses or activities ECTS Total hours Language SSD
Compulsory
Algebra 1 9 93 Italian MAT/02
Elements of Basic Mathematics 3 27 Italian MAT/01 MAT/02 MAT/03 MAT/04 MAT/05 MAT/06 MAT/07 MAT/08 MAT/09
Geometry 1 6 63 Italian MAT/03
Mathematical Analysis 1 9 93 Italian MAT/05
Second semester
Courses or activities ECTS Total hours Language SSD
Compulsory
General Physics 1 9 93 Italian FIS/01 FIS/02 FIS/03 FIS/04 FIS/05 FIS/06 FIS/07 FIS/08
Geometry 2 9 93 Italian MAT/03
Mathematical Analysis 2 6 63 Italian MAT/05
Programming 1 6 63 Italian INF/01
First semester
Courses or activities ECTS Total hours Language SSD
Compulsory
Algebra 2 6 63 Italian MAT/02
Geometry 3 6 60 Italian MAT/03
Mathematical Analysis 3 9 93 Italian MAT/05
Numerical Analysis 1 9 96 Italian MAT/08
Second semester
Courses or activities ECTS Total hours Language SSD
Compulsory
Mathematical Analysis 4 6 60 Italian MAT/05
Mathematical Physics 1 6 60 Italian MAT/07
Numerical Analysis 2 9 96 Italian MAT/08
Probability 9 93 Italian MAT/06
Optional
Introduction to Image Processing 6 63 Italian MAT/03 MAT/08
First semester
Courses or activities ECTS Total hours Language SSD
Compulsory
General Physics 2 9 93 Italian FIS/01 FIS/02 FIS/03 FIS/04 FIS/05 FIS/06 FIS/07 FIS/08
Mathematical Physics 2 6 60 Italian MAT/07
Mathematical Statistics 9 93 Italian MAT/06
Second semester
Courses or activities ECTS Total hours Language SSD
Compulsory
Laboratory of Mathematical Statistics 3 36 Italian MAT/06
Optional
General Physics 3 9 93 Italian FIS/01 FIS/02 FIS/03 FIS/04 FIS/05 FIS/06 FIS/07 FIS/08
Conclusive activities
Courses or activities ECTS Total hours Language SSD
Compulsory
Final Exam 3 0 Italian
Optional activities and study plan rules
3 - In the second and third year of the course the student must acquire 18 credits free of choice.
The following table shows the teachings specifically activated by CDM. The student can also freely choose among all the teachings activated by the university, and in particular among those activated by the CDM in mathematics for a curriculum different from that followed by the student (it is noted that the course of Geometry 4 (first part) is Available only for students of the application curriculum) and among those of the magistral in mathematics.
With regard to the courses of analysis it is advisable to follow real analysis and/or complex analysis.
The choice is subject to the approval of the CDM.
It is noted that the teaching of mathematical methods and models for applications is incompatible with the activity of mathematical methods and models for applications (which is one of the activities of choice for obtaining F-type credits) and, similarly, The teaching of scientific calculation is incompatible with the activity of scientific calculation.
Courses or activities ECTS Total hours Language Lesson period SSD
Algebra 4 6 60 Italian Second semester MAT/02
Geometry 5 9 78 Italian First semester MAT/03
Introduction to Image Processing 6 63 Italian Second semester MAT/03 MAT/08
Mathematical methods and models for applications 6 60 Italian First semester MAT/07
Numerical Linear Algebra 6 60 English Second semester MAT/08
Programming 2 6 60 Italian First semester INF/01
Scientific Computing 6 60 Italian Second semester MAT/08
First semester
Courses or activities ECTS Total hours Language SSD
Optional
Geometry 5 9 78 Italian MAT/03
Mathematical methods and models for applications 6 60 Italian MAT/07
Programming 2 6 60 Italian INF/01
Second semester
Courses or activities ECTS Total hours Language SSD
Optional
Algebra 4 6 60 Italian MAT/02
Algoritmi e strutture dati 9 93 Italian INF/01
Elements of Basic Mathematics 2 3 27 Italian MAT/01 MAT/02 MAT/03 MAT/04 MAT/05 MAT/06 MAT/07 MAT/08 MAT/09
Geometry 4 9 93 Italian MAT/03
Numerical Linear Algebra 6 60 English MAT/08
Scientific Computing 6 60 Italian MAT/08
Open sessions
There are no specific sessions for these activities (e.g. open online courses).
Courses or activities ECTS Total hours Language SSD
Compulsory
English assessment B1 (3 ECTS) 3 0 Italian
Optional
Educational Training 3 0 Italian
Essay Written under the Direction of a Staff Member 3 0 Italian
Internship in Industry 3 0 Italian
Optional activities and study plan rules
2 - The student must obtain 9 credits by choosing a course from the following:
Courses or activities ECTS Total hours Language Lesson period SSD
Algoritmi e strutture dati 9 93 Italian Second semester INF/01
General Physics 3 9 93 Italian Second semester FIS/01 FIS/02 FIS/03 FIS/04 FIS/05 FIS/06 FIS/07 FIS/08
5 - The student must obtain 3 credits with one or more of the following F-type activities.
Courses or activities ECTS Total hours Language Lesson period SSD
Educational Training 3 0 Italian Open sessions
Elements of Basic Mathematics 2 3 27 Italian Second semester MAT/01 MAT/02 MAT/03 MAT/04 MAT/05 MAT/06 MAT/07 MAT/08 MAT/09
Essay Written under the Direction of a Staff Member 3 0 Italian Open sessions
Internship in Industry 3 0 Italian Open sessions
For the students who matriculated from the Academic Year 2019/2020 on, passing the exam of the course "Elementi di Matematica di Base" is mandatory for the exams of all the courses of the second and the third year. This rule applies to all the Curricula. Furthermore, the students should take into account the teachers' suggestions regarding possible preliminary useful courses.
Learn more
Location
Milano
Head of study programme
Quality Assurance Delegate
Contacts
  • Secretary of the course of study
    via Cesare Saldini 50
    segrccd.mat@unimi.it
    +390250316107
    09.30-11.30
  • https://matematica.cdl.unimi.it/it
  • Commissione Organizzazione Prova Finale Laurea in Matematica
    CALANCHI Marta (Presidente), BERTOLINI Marina, LOVADINA Carlo
  • Commissione Piani di studio laurea Triennale
    SALVATORI Maura (Presidente), BERTOLINI Marina, CAUSIN Paola
  • Commissione Prova Finale Laurea in Matematica
    TARSI Cristina (Presidente), BRESSAN Nicoletta, CARATI Andrea, MORALE Daniela, VEZZANI Alberto, TERRANEO E., A. ALZATI
  • Commissione Verifica Lingua Inglese
    CIRAOLO Giulio (Presidente), STELLARI Paolo
  • Commissione Trasferimenti e Riconoscimento Titoli Esteri
    BIANCHI Mariagrazia (Presidente), ZAMPIERI Elena
  • Commissione Orientamento e Stage
    TORTORA Alfonso (Presidente), NALDI Giovanni, MICHELETTI Alessandra, PENATI Tiziano
  • Commissione Socrates-Erasmus
    GAETA Giuseppe (Presidente), CIRAOLO Giulio, GORI Anna, MATESSI Diego, SCACCHI Simone
  • Commissione Altre Attività e Conferimento Crediti
    SCACCHI Simone (Presidente), MOLTENI Giuseppe, TORTORA Alfonso
  • Commissione Organizzazione Test di Accesso
    TERRANEO Elide (Presidente), BRESSAN Nicoletta
  • Commissione Orario
    ZAMPIERI Elena (Presidente), MORALE Daniela
  • Docente responsabile Organizzazione Homeworks
    MAZZA Carlo
  • Docenti responsabili Pagine Web e Sito Internet
    PALEARI Simone, TURRINI Cristina
  • Docente responsabile Piano Lauree Scientifiche
    CAUSIN Paola
  • Docenti responsabili Tirocinio Didattico
    MANTOVANI Sandra, RIZZO Ottavio
  • Segreteria studenti
    CONTATTI
    https://www.unimi.it/it/node/359
    +390250325032
  • Segreteria studenti
    SEDI E ORARI
    https://www.unimi.it/it/node/360

The tuition fees for students enrolled in Bachelor's, Master's and single-cycle degree programmes are divided into two instalments with different calculation methods and payment schedules:

  • The amount of the first instalment is the same for all students
  • The amount of the second instalment varies according to the ISEE University value, the degree programme and the student status (on track / off track for one year or off track for more than a year) 
  • An additional fee is due for online programmes

The University also offers:

  • Concessions for students meeting high merit requirements
  • Diversified tuition fees according to the student's home country for international students with assets/income abroad
  • Concessions for international students with refugee status

Scholarships and benefits

The University provides a range of financial benefits to students meeting special requirements (merit, financial or personal conditions, international students).

Learn more